Aortic valve dynamic mathematical model and parametrized modeling method

Abstract

The present invention specifically relates to the technical field of medical model construction, and provides an aortic valve dynamic mathematical model and a parametrized modeling method. The solution comprises: determining three reference points on the basis of a plane in a three-dimensional coordinate system, and obtaining a bottom fixed point along the direction of the perpendicular bisector of a target line segment formed by two reference points; constructing an opening-closing motion curve, a belly edge curve, and an attachment edge curve on the basis of the three reference points and the fixed point; constructing a single valve leaflet by taking the opening-closing motion curve as a sweep path and taking the belly edge curve and the attachment edge curve as sweep curves; presetting a plurality of control points to regulate the opening-closing motion curve to obtain a dynamically deformable single valve leaflet; and repeating the steps to construct the aortic valve dynamic mathematical model composed of three dynamically deformable valve leaflets. In the solution, by adjusting the positions of reference points and parameters, the overall structure of valve leaflets is controlled, and the trajectory of an opening-closing motion curve is changed, thereby achieving dynamic deformation of valves during closing and opening.

Description

A dynamic mathematical model of aortic valve and a parametric modeling method Technical Field

[0001] This invention relates to the field of medical model construction technology, and in particular to a dynamic mathematical model of aortic valve and a parametric modeling method. Background Technology

[0002] The aortic valve is a vital component of the heart, located between the left ventricle and the aorta, playing a crucial role in regulating the heart's pumping of blood. It consists of three semilunar leaflets, known as crescentic valves, which are triangular, thin, and strong tissue structures. The primary function of the aortic valve is to ensure that the heart pumps oxygenated blood throughout the body during systole, while preventing blood from flowing back into the left ventricle during diastole. This process is achieved through the opening and closing of the aortic valve. During diastole, the aortic valve closes to prevent blood from flowing back from the aorta into the left ventricle. During systole, the aortic valve opens rapidly, allowing oxygen and blood to enter the aorta from the left ventricle to meet the oxygen and nutrient needs of the body. Therefore, the aortic valve plays a vital role in the normal function of the cardiovascular system. However, various factors can lead to aortic stenosis or aortic regurgitation, potentially causing abnormal cardiac function. Therefore, aortic valve models are urgently needed to aid in the study of the mechanisms causing these abnormalities.

[0003] In existing technologies, the construction of aortic valves involves several approaches. Some rely on 3D reconstruction based on medical image data. This method can only perform individual reconstructions using the acquired medical data, resulting in models that are specific and singular, lacking universality. Other methods utilize static mathematical models, which allow for valve shape adjustments but cannot dynamically regulate valve opening and closing. Therefore, the aortic valve models constructed in existing technologies are static models and cannot realize the dynamic changes in valve closure and opening. Summary of the Invention

[0004] In view of the shortcomings of the prior art, the purpose of this invention is to provide a dynamic mathematical model of aortic valve and a parametric modeling method, which aims to solve the problem that the aortic valve models constructed in the prior art cannot realize the dynamic changes of the valve.

[0005] To achieve the above objectives, a first aspect of the present invention provides a parametric modeling method for aortic valve dynamic mathematical models, comprising:

[0006] Based on a plane in a three-dimensional coordinate system, three reference points are determined, and a bottom fixed point is obtained along the direction of the perpendicular bisector of the target line segment formed by two of the reference points. The three reference points are used to form a planar triangle.

[0007] Based on the three reference points, a Bézier curve is constructed to obtain the switching dynamic curve;

[0008] Based on the switching curve, the bottom fixed point and / or the reference point corresponding to the target line segment, the abdominal edge curve and the attachment edge curve are constructed respectively.

[0009] Using the switching curve as the sweep path and the abdominal edge curve and the attachment edge curve as the sweep curve, a single valve leaflet is constructed.

[0010] Based on the single valve leaflet, several control points are preset to adjust the straight line segment where the midpoint and reference point are located on the switching curve, so as to obtain a dynamically changeable single valve leaflet.

[0011] Using the three reference points as a reference, the steps of constructing the dynamically changeable single valve leaflet are repeated until three dynamically changeable single valve leaflets are obtained, and the dynamic mathematical model of the aortic valve is constructed using the three dynamically changeable valve leaflets.

[0012] Optionally, the step of constructing a Bézier curve based on the three reference points to obtain the switching curve includes:

[0013] Obtain the centroid of the planar triangle;

[0014] Obtain the midpoint of the line connecting the two reference points, and point from the centroid to the midpoint of the line connecting the reference points to obtain the first vector;

[0015] Starting from the centroid, draw the normal vector of the planar triangle in the opposite direction of the Z-axis to obtain the second vector;

[0016] Based on the first vector and the second vector, the endpoint of the vector is obtained;

[0017] Using the two reference points and the endpoint of the vector as control points, a Bézier curve is constructed to obtain the switching curve.

[0018] Optionally, based on the single valve leaflet, the step of pre-setting several control points to adjust the straight line segment containing the midpoint and reference point on the switching curve to obtain a dynamically changeable single valve leaflet includes:

[0019] Based on the single valve leaflet, the midpoint of the switching motion curve is obtained. Based on the midpoint of the switching motion curve and the two reference points, two straight line segments intersecting at the midpoint of the switching motion curve are obtained.

[0020] The two line segments are divided using preset parameters to obtain several sets of control points;

[0021] By controlling the switching curve through different sets of control points, a dynamically changing single valve leaflet can be obtained.

[0022] Optionally, the step of constructing the abdominal edge curve and the attachment edge curve based on the switching curve, the bottom fixed point, and / or the reference point corresponding to the target line segment includes:

[0023] Starting from the midpoint of the switching curve, draw the normal vector of the planar triangle in the opposite direction of the Z-axis to obtain the third vector;

[0024] Starting from the midpoint of the switching curve, determine the key points of the abdominal edge along the direction of the third vector according to the preset length;

[0025] A Bézier curve is constructed using the midpoint of the switching curve, the key point of the abdominal edge, and the bottom fixed point to obtain the abdominal edge curve.

[0026] Optionally, the step of constructing the abdominal edge curve and the attachment edge curve based on the switching curve, the bottom fixed point, and / or the reference point corresponding to the target line segment includes:

[0027] Starting from each of the reference points corresponding to the target line segment, and extending along a preset length, with the Z-axis as the reference direction and the Y-axis and / or X-axis as the angle change axis, an attachment edge curve is obtained.

[0028] Optionally, constructing a single valve leaflet using the switching curve as the sweep path and the ventral edge curve and the attachment edge curve as the sweep curve includes:

[0029] Using the switching curve as the sweep path, and the two attached edge curves as the start and end points of the sweep curve respectively, the single valve leaflet configuration is controlled by the abdominal edge curve for sweeping lofting to construct a single valve leaflet.

[0030] Optionally, the step of determining three reference points based on a plane in a three-dimensional coordinate system, and obtaining a bottom fixed point along the perpendicular bisector of the target line segment formed by two of the reference points, includes:

[0031] Construct a cylinder, and determine two reference points based on a cross-section of the cylinder;

[0032] Draw the perpendicular bisector of the target line segment formed by the two reference points on the cross section, and determine a reference point based on the perpendicular bisector;

[0033] The intersection point of the perpendicular bisector and the surface of the cylinder is determined to obtain a bottom fixing point. A second aspect of the invention provides a dynamic mathematical model of the aortic valve, which is constructed based on a parametric modeling device for the aortic valve, the parametric modeling device comprising:

[0034] The key point acquisition module is used to determine three reference points based on a plane in a three-dimensional coordinate system, and obtain a bottom fixed point along the direction of the perpendicular bisector of the target line segment formed by two of the reference points, and the three reference points are used to form a planar triangle.

[0035] The switching dynamic curve construction module is used to construct a Bézier curve based on the three reference points to obtain the switching dynamic curve;

[0036] The abdominal edge curve and attachment edge curve construction module is used to construct the abdominal edge curve and attachment edge curve respectively based on the switching curve, the bottom fixed point and / or the reference point corresponding to the target line segment;

[0037] A single valve leaflet construction module is used to construct a single valve leaflet by using the switching curve as the sweeping path and the ventral edge curve and the attachment edge curve as the sweeping curve.

[0038] The dynamic adjustment module is used to adjust the straight line segment where the midpoint and the reference point on the switching curve are located based on the single valve leaflet and preset several control points to obtain a dynamically changeable single valve leaflet.

[0039] The dynamic model construction module is used to repeatedly construct the dynamically changeable single valve leaflet based on the three reference points until three dynamically changeable single valve leaflets are obtained, and to construct a dynamic mathematical model of the aortic valve using the three dynamically changeable valve leaflets.

[0040] A third aspect of the present invention provides a terminal, the terminal including a memory, a processor, and an aortic valve dynamic mathematical model parameterization modeling program stored in the memory and executable on the processor, wherein when the aortic valve dynamic mathematical model parameterization modeling program is executed by the processor, it implements any of the steps of the above-described aortic valve dynamic mathematical model parameterization modeling method.

[0041] A fourth aspect of the present invention provides a computer-readable storage medium storing a parametric modeling program for aortic valve dynamic mathematical model, wherein the parametric modeling program for aortic valve dynamic mathematical model, when executed by a processor, implements any of the steps of the above-described parametric modeling method for aortic valve dynamic mathematical model.

[0042] Compared with existing technologies, the beneficial effects of this solution are as follows:

[0043] This invention determines three reference points that can form a planar triangle based on a plane in a three-dimensional coordinate system. The regions corresponding to the three valve leaflets are divided based on any two of these reference points. A bottom fixed point is obtained along the perpendicular bisector of any two reference points to determine the depth of one valve leaflet. A Bézier curve is constructed based on the three reference points to obtain the switching dynamic curve. Based on the switching dynamic curve, the bottom fixed point, and / or the reference point corresponding to the target line segment, a ventral edge curve and an attachment edge curve are constructed respectively. Using the switching dynamic curve as a sweep path and the ventral edge curve and attachment edge curve as sweep curves, a single valve leaflet is constructed. Based on the single valve leaflet, several preset control points are used to adjust the straight line segment containing the midpoint and reference point on the switching dynamic curve to obtain a dynamically changing single valve leaflet. The steps of constructing the dynamically changing single valve leaflet are repeated using the three reference points as references, thereby constructing a dynamic mathematical model of the aortic valve composed of three dynamically changing valve leaflets. As can be seen, this invention achieves the determination of the overall structure of the valve leaflet by adjusting the reference point position and parameters to control the sinus depth, sinus width and valve leaflet curvature. By changing the curve trend of the opening and closing motion, the entire valve leaflet can be opened and closed, so as to achieve parameterized adjustment of the opening and closing action of the valve leaflet dynamic model, realize the dynamic change function of valve closure and opening, and construct a dynamically movable aortic valve model that conforms to the structural characteristics and physiological functions of the real aortic valve. Attached Figure Description

[0044] To more clearly illustrate the technical solutions in the embodiments of the present invention, the drawings used in the description of the embodiments or the prior art will be briefly introduced below. Obviously, the drawings described below are only some embodiments of the present invention. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.

[0045] Figure 1 is a flowchart of the parameterized modeling method for the dynamic mathematical model of aortic valve according to the present invention;

[0046] Figure 2 is a schematic diagram of the reference points and key vectors of the present invention;

[0047] Figure 3 is a schematic diagram of the switching motion curve of the present invention;

[0048] Figure 4 is a schematic diagram of the key points of the switching motion curve and the abdominal edge curve of the present invention;

[0049] Figure 5 is a schematic diagram of the switch closure curve of the present invention in the open state;

[0050] Figure 6 is a schematic diagram of the switch closure curve of the present invention in the closed state;

[0051] Figure 7 is a schematic diagram of the attachment edge curve of the present invention;

[0052] Figure 8 is a schematic diagram of the present invention for adjusting the direction of the attachment edge curve based on the YZ plane;

[0053] Figure 9 is a schematic diagram of the present invention for adjusting the direction of the attachment edge curve based on the XZ plane;

[0054] Figure 10 is a side view of a single valve leaflet of the present invention;

[0055] Figure 11 is a top view of a single valve leaflet of the present invention;

[0056] Figure 12 is a side view of the valve leaflet in the open state in the dynamic mathematical model of the aortic valve of the present invention;

[0057] Figure 13 is a top view of the aortic valve leaflet in the open state in the dynamic mathematical model of the aortic valve of the present invention;

[0058] Figure 14 is a side view of the valve leaflet in the closed state in the dynamic mathematical model of the aortic valve of the present invention;

[0059] Figure 15 is a top view of the valve leaflet in the closed state in the dynamic mathematical model of the aortic valve of the present invention;

[0060] Figure 16 is a schematic diagram of the positional relationship between the reference point and the bottom fixed point based on the cylinder according to the present invention;

[0061] Figure 17 is a schematic diagram of the parameterized modeling device module for the dynamic mathematical model of aortic valve of the present invention.

[0062] Figure 18 is a schematic diagram of the terminal structure of the present invention. Detailed Implementation

[0063] In the following description, specific details such as particular system architectures and techniques are set forth for illustrative purposes and not for limitation, in order to provide a thorough understanding of the embodiments of the invention. However, those skilled in the art will understand that the invention can be implemented in other embodiments without these specific details. In other instances, detailed descriptions of well-known systems, apparatuses, circuits, and methods are omitted so as not to obscure the description of the invention with unnecessary detail.

[0064] It should be understood that, when used in this specification and the appended claims, the term "comprising" indicates the presence of the described features, integrals, steps, operations, elements and / or components, but does not exclude the presence or addition of one or more other features, integrals, steps, operations, elements, components and / or collections thereof.

[0065] It should also be understood that the terminology used in this specification is for the purpose of describing particular embodiments only and is not intended to limit the invention. As used in this specification and the appended claims, the singular forms “a,” “an,” and “the” are intended to include the plural forms unless the context clearly indicates otherwise.

[0066] It should also be further understood that the term "and / or" as used in this specification and the appended claims refers to any combination of one or more of the associated listed items and all possible combinations, and includes such combinations.

[0067] The technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of the present invention.

[0068] Many specific details are set forth in the following description in order to provide a full understanding of the invention. However, the invention may also be practiced in other ways different from those described herein, and those skilled in the art can make similar extensions without departing from the spirit of the invention. Therefore, the invention is not limited to the specific embodiments disclosed below.

[0069] This invention addresses the problem that existing aortic valve models cannot realize dynamic valve changes. It proposes a parametric modeling method for aortic valve dynamic mathematical models. This method primarily involves selecting several reference points and parameter points, using a combination of numerical and graphical methods to obtain different control points, and then constructing Bézier curves using these control points to obtain the valve's opening / closing curve and ventral edge curve. These curves are then swept to obtain a closed surface, i.e., a static valve leaflet. Furthermore, through function regulation, the constructed curves are parametrically controlled to control the closure of the opening / closing curve at the top of the valve leaflet, achieving dynamic valve leaflet design. Finally, following the modeling method for a single valve leaflet, two more valve leaflets are constructed, resulting in a three-leaflet model and a complete aortic valve dynamic mathematical model. This scheme can determine the overall structure of the valve leaflets by adjusting the position of the reference point and control parameters to control the sinus depth, sinus width, and leaflet curvature. It can also make the entire valve close and open by changing the curve of the opening and closing movement curve, so as to achieve the effect of parametric adjustment of the valve closure and opening model, realize the dynamics of the aortic valve, and make the constructed aortic valve dynamic mathematical model have physiological functions and medical research value.

[0070] This invention provides a parametric modeling method for aortic valve dynamic mathematical models, deployed on electronic devices such as computers and servers. The application scenario is the simulation design of aortic valve dynamic mathematical models, focusing on the dynamic changes in the aortic valve's ability to close and open. Specifically, as shown in Figure 1, the steps of this embodiment include:

[0071] Step S100: Determine three reference points based on a plane in a three-dimensional coordinate system, and obtain a bottom fixed point along the direction of the perpendicular bisector of the target line segment formed by two of the reference points, and the three reference points are used to form a planar triangle;

[0072] Specifically, this embodiment constructs a three-dimensional dynamic mathematical model of the aortic valve based on a three-dimensional coordinate system. Since the human aortic valve is composed of three semilunar leaflets, with the semilunar leaflets approximating a triangle, this embodiment first selects three reference points on any plane in the three-dimensional coordinate system as the intersection points of the three leaflets pairwise. Each leaflet includes two reference points. Because in reality, the three leaflets are approximately the same size and similar in shape, the plane triangle formed by the selected three reference points may be an equilateral triangle, an isosceles triangle, or a regular triangle. This embodiment does not impose specific restrictions on the size and shape of the three leaflets; that is, the shape of the triangle formed by the three points on the same plane is not specifically limited. To facilitate model construction, the intersection points of the three leaflets pairwise are restricted, meaning the three selected reference points are located on the same plane.

[0073] Since the leaflet shape is approximately triangular, each leaflet needs to include one point in addition to two reference points. Because there are countless perpendicular bisectors of the target line segment formed by the line connecting the two reference points, and all these perpendicular bisectors lie in the same plane, this embodiment selects a point as the bottom fixing point of the single leaflet based on the approximate size and shape of the leaflet to be constructed, along the plane containing the perpendicular bisector of the line connecting the two reference points corresponding to a leaflet, to control the depth of the leaflet.

[0074] Step S200: Construct a Bézier curve based on the three reference points to obtain the switching curve;

[0075] Specifically, based on the position and distance relationship between the centroid of the plane containing the three reference points and the midpoint of the line connecting the two reference points corresponding to the single valve leaflet to be constructed, a key construction point is determined. Then, the two reference points corresponding to the single valve leaflet to be constructed and the key construction point are used as control points to construct a second-order Bézier curve. This second-order Bézier curve is used as the switching curve to form the arc at the top of the valve leaflet.

[0076] Step S300: Based on the switching curve, the bottom fixed point, and / or the reference point corresponding to the target line segment, construct the abdominal edge curve and the attachment edge curve respectively;

[0077] Specifically, using the midpoint and bottom fixed point of the reconstructed switching curve as control points, a second-order Bézier curve is constructed, and this second-order Bézier curve is used as the ventral edge curve to form the ventral curve of the valve leaflet, thereby determining the pocket-shaped curvature of the valve leaflet.

[0078] Using two reference points corresponding to the target line segment of the single valve leaflet to be constructed as starting points, the curves are extended according to preset lengths and preset directions corresponding to each starting point, respectively, to obtain an attachment edge curve, forming the edge of the valve leaflet's complete closure. In this embodiment, to distinguish the attachment edge curves corresponding to each reference point, one attachment edge curve is considered as the starting point of the single valve leaflet, and the other attachment edge curve is considered as the ending point of the single valve leaflet. It is easy to understand that as the preset length changes, the length of the generated attachment edge curve will change accordingly, and as the preset direction changes, the direction of the generated attachment edge curve will change accordingly. By presetting different lengths and directions, the length and curvature direction of the constructed attachment edge curves can be adjusted, thereby facilitating the adjustment to obtain attachment edge curves that meet the expectations.

[0079] Step S400: Using the switching motion curve as the sweep path and the ventral edge curve and the attachment edge curve as the sweep curve, construct a single valve leaflet;

[0080] Specifically, the constructed switching curve is used as the sweeping path of the valve structure to control the valve structure of a single valve leaflet. The ventral edge curve and the attachment edge curve are used as sweeping curves. The overall shape, length and depth of the valve are controlled by the ventral edge curve, and the valve annulus is fixed by the attachment edge curve, thereby constructing a complete valve leaflet.

[0081] Step S500: Based on the single valve leaflet, a number of preset control points are used to adjust the straight line segment where the midpoint and reference point are located on the switching curve to obtain a dynamically changeable single valve leaflet.

[0082] Specifically, in order to enable the constructed switching curve to have dynamic changes in closing and opening, this embodiment reconstructs the switching curve constructed in step S200. First, based on the constructed single valve leaflet, the midpoint of the switching curve is determined. The midpoint is then connected to the two reference points corresponding to the switching curve to construct two straight line segments. Then, several control points are determined on the two straight line segments, and each straight line segment is divided using the control points. According to the different division ratios of the straight line segments by different control points, the division ratio of the straight line segments by the control points is dynamically adjusted so that the reconstructed switching curve can change dynamically, driving the valve ring of the corresponding single valve leaflet to open or close, thereby obtaining a dynamically changeable single valve leaflet.

[0083] Step S600: Using the three reference points as references, repeat the steps of constructing the dynamically changeable single valve leaflet until three dynamically changeable single valve leaflets are obtained, and use the three dynamically changeable valve leaflets to construct a dynamic mathematical model of the aortic valve.

[0084] Specifically, three reference points are determined based on a plane in a three-dimensional coordinate system to determine that the number of valve leaflets to be constructed is three. The steps S100 to S500, which involve constructing a dynamically changing single valve leaflet, are repeated to construct two more valve leaflets, thus obtaining three valve leaflets. Adjacent valve leaflets are closely fitted together by attachment edge curves, and each valve leaflet can dynamically change synchronously according to its own configuration to construct a complete dynamic mathematical model of the aortic valve.

[0085] In this embodiment, points are selected on a plane in three-dimensional space to determine fixed points and parameter points. Different construction points are obtained through a combination of numerical and graphical methods. Bézier curves are then constructed using these construction points to obtain three construction curves for the valve leaflet: the opening / closing curve, the ventral edge curve, and the attachment edge curve. The opening / closing curve is then used as the sweep path, and the ventral edge curve and the attachment edge curve are used as sweep curves to form a surface, i.e., a single valve leaflet. At this point, a static valve leaflet is obtained. Furthermore, by setting control points to regulate the opening / closing curve of the valve leaflet, the curve trend of the valve leaflet can be controlled by parameters, enabling the valve leaflet to open and close dynamically, thus designing a dynamic mathematical model of the aortic valve. As can be seen, this embodiment determines the overall structure of the valve leaflet by adjusting the reference point position and parameters to control the sinus depth, sinus width, and valve leaflet curvature. By changing the curve trend of the opening and closing motion, the entire valve leaflet is opened and closed, so as to achieve parameterized adjustment of the opening and closing motion of the valve leaflet dynamic model. This constructs a dynamically movable aortic valve model that conforms to the structural characteristics and physiological functions of the real aortic valve, which can ensure that the heart pushes oxygen and blood to the whole body during contraction, and at the same time prevents blood from flowing back from the aorta to the left ventricle during diastole.

[0086] As a preferred embodiment, assuming that each leaflet of the aortic valve dynamic mathematical model to be constructed has the same configuration and size, after constructing a dynamically variable single leaflet, the single leaflet can be rotated and lofted around the centroid of the equilateral triangle containing the three reference points to obtain three identical leaflets, thus constructing a regular aortic valve dynamic mathematical model. In practical research applications, a regular aortic valve dynamic mathematical model is usually chosen as the research object and for determining various research indicators. Therefore, the aortic valve dynamic mathematical model constructed from three identical leaflets has high practical research and medical application value.

[0087] Therefore, this application mainly uses the construction of a regular aortic valve dynamic mathematical model (i.e., the case where the three valve leaflets are completely identical) as an example to illustrate the construction principle and steps of a dynamically changing single valve leaflet. It should be stated that any aortic valve model constructed based on the principle of constructing a dynamically changing single valve leaflet of this invention is within the protection scope of this invention.

[0088] As shown in Figures 2-3, in one embodiment, step S200, which involves constructing a Bézier curve based on the three reference points to obtain the switching curve, includes:

[0089] Step S210: Obtain the centroid of the planar triangle;

[0090] Specifically, three reference points in the three-dimensional coordinate system XYZ are defined as A1, A2, and A3. A planar triangle is constructed based on these three reference points, and the centroid O of the planar triangle is determined, O = (A1 + A2 + A3) / 3. Since the sum of the squares of the distances from the centroid to the three vertices is minimized, using the centroid as a reference point helps to make the top arc of each valve leaflet more symmetrical. In particular, if the planar triangle is an equilateral triangle, then using the centroid as a reference point can construct three valve leaflets with identical top arcs.

[0091] Step S220: Obtain the midpoint of the line connecting the two reference points, and point from the centroid to the midpoint of the line connecting the reference points to obtain the first vector;

[0092] Step S230: Starting from the centroid, construct the normal vector of the planar triangle in the opposite direction of the Z-axis to obtain the second vector;

[0093] Step S240: Based on the first vector and the second vector, obtain the vector endpoint;

[0094] Step S250: Using the two reference points and the vector endpoint as control points, construct a Bézier curve to obtain the switching curve.

[0095] Specifically, as shown in Figures 2 and 3, based on the rectangular coordinate system XYZ, each valve leaflet corresponds to two of the three reference points A1, A2, and A3, such as A1 and A2. The midpoint A of the line connecting these two reference points is pointed from the centroid O. n A n = (A1+A2) / 2, to obtain the first vector T n T n =O+A n And the first vector T n The length is controlled by parameter x1. Starting from the centroid, draw the normal vector of the planar triangle in the opposite direction of the Z-axis to obtain the second vector M. p The second vector M p The coordinates are obtained by solving the following system of equations.

[0096] Where (X,Y,Z) represents the solution to the system of equations, i.e., the second vector M p The coordinates, and the first vector M p The length is controlled by the parameter x2.

[0097] Solve for the first vector T n Second vector M p The sum of these points yields the vector endpoint M, which is used as the key point of the switching curve to obtain the vector. Using reference points A1 and A2, and the vector endpoint M as control points, a second-order Bézier curve is drawn to obtain the switching curve L1, whose expression is: L1(t1)=(1-t1 2 )×A1+2×(1-t1)×t1×A2+t1 2 ×M,(0 <t1<1)

[0098] Where t1 represents the range of values ​​of the independent variable of the switching curve L1 from the starting point 0 to the ending point 1.

[0099] In this embodiment, a second-order Bézier curve is drawn using three control points to obtain the switching curve, and the first vector T is adjusted by setting two control parameters x1 and x2 respectively. n Second vector M p This allows for flexible control over the configuration of the constructed switching curve.

[0100] As shown in Figures 4-6, in one embodiment, step S500, based on the single valve leaflet, involves pre-setting several control points to adjust the straight line segment containing the midpoint and reference point on the switching curve to obtain a dynamically changeable single valve leaflet, including:

[0101] Step S510: Based on the single valve leaflet, obtain the midpoint of the switching motion curve, and based on the midpoint of the switching motion curve and the two reference points, obtain two straight line segments that intersect at the midpoint of the switching motion curve.

[0102] Step S520: Divide the two line segments using preset parameters to obtain several sets of control points;

[0103] Step S530: Control the switching curve through different groups of control points to obtain a dynamically changing single valve leaflet.

[0104] Specifically, as shown in Figure 4, the midpoint m of the switching motion curve L1 is obtained, and the coordinates of the reference point A1 are defined as follows: The coordinates of reference point A2 are The coordinates of the midpoint m can then be obtained using the equation of a straight line in space. The equation of the straight line in space is as follows:

[0105] Then, based on the midpoint m, straight lines are drawn to the reference points A1 and A2 respectively to obtain two straight line segments A1m and A2m, resulting in two straight lines intersecting at the key point M, which serve as the initial switch closure curve.

[0106] As shown in Figures 5 and 6, based on the switch closure curve, a preset parameter i is used to divide the straight line segments A1m and A2m into different proportions using different values ​​of i. For example, in this embodiment, i1 = 1, i2 = 0.8, and i3 = 0.4 are used to divide the straight line segments A1m and A2m, resulting in six dividing points. The specific coordinates of the six points are calculated based on the straight lines A1m and A2m, resulting in six points P0, P1, P2, P3, P4, and P5. A fifth-order Bézier function curve is then created based on these six points, i.e.:

[0107] Among them, L 1′ The switching curve represents the on / off state, t. 1′ L represents 1′ The range of values ​​for the independent variable from the starting point 0 to the ending point 1 is [0, 1, 2, 3, 4, 5].

[0108] By varying the value of 'i', the control points that play a controlling role are adjusted, achieving six-point control. This regulates the degree to which the switching closure curve approximates the straight line segments A1m and A2m, thereby controlling the trend of the switching closure curve and ultimately achieving dynamic changes in the valve leaflet's closing and opening actions. For example, data from Grasshopper in Rhino can be used for path displacement to make the curve approach closure or opening. Figure 5 shows a schematic diagram of the switching closure curve in the open state, and Figure 6 shows a schematic diagram of the switching closure curve in the closed state.

[0109] To achieve precise and flexible control over the value of i, this embodiment uses a Sigmoid function as the i-value control function, such as the Logistic function, i.e.: Sig(j)=(1+e -j ) -1

[0110] Where j represents the degree of valve opening or closing. As j approaches positive infinity, Sig(j) = 1, i 1′ =Sig(j)×i1=1,i 2′ =Sig(j)×i2=0.8, i 3′ =Sig(j)×i3=0.4, then the valve is in the open state; when j approaches negative infinity, Sig(j)=0, i 1′ =Sig(j)×i1=0, i 2′ =Sig(j)×i2=0, i 3′ If Sig(j) × i3 = 0, then the valve is in a closed state. In this embodiment, based on preset rules for the change of the i value (such as the frequency of change, the order of change of different values), the Sig(j) function is used to control i1 = 1, i2 = 0.8, or i3 = 0.4 to control the switching closure curve to reach the corresponding control point, thereby adjusting the degree to which the switching closure curve approximates the straight line segments A1m and A2m, thus obtaining a dynamically changeable single valve leaflet. It should be noted that this embodiment sets three sets of control points on the straight line segments A1m and A2m. As another preferred implementation, the position of the control points can be changed by altering the value of i, thereby changing the magnitude of the dynamic change amplitude of the switching closure curve. More control points can also be set to further improve the accuracy of the switching closure curve control.

[0111] In this embodiment, based on the construction of a static single valve leaflet, by setting control points and adjusting the control points, the degree to which the opening and closing curve approximates the two straight line segments is adjusted, thereby enabling the valve leaflet to dynamically adjust the closing and opening actions and change the magnitude of the action.

[0112] In one implementation, step S300, which involves constructing the abdominal edge curve and the attachment edge curve based on the switching curve, the bottom fixed point, and / or the reference point corresponding to the target line segment, includes:

[0113] Step S310: Starting from the midpoint of the switching curve, draw the normal vector of the planar triangle in the opposite direction of the Z-axis to obtain the third vector;

[0114] Step S320: Starting from the midpoint of the switching curve, determine the key points of the abdominal edge along the direction of the third vector according to the preset length;

[0115] Step S330: Construct a Bézier curve using the midpoint of the switching curve, the key point of the abdominal edge, and the bottom fixed point to obtain the abdominal edge curve.

[0116] Specifically, as shown in Figure 4, starting from the midpoint m of the switching curve L1, the normal vector of the planar triangle is drawn in the opposite direction of the Z-axis to obtain the third vector N. p And the third vector N p The length is controlled by the parameter x3. Define the key point of the abdominal edge as N, then starting from m, along the third vector N... p The direction of the third vector N is adjusted by adjusting the parameter x3. p The length of the third vector N is such that the ... p The third vector N meets the preset length, so that p The endpoint coincides with the core point N on the abdominal side, resulting in a vector. As can be seen, parameter x3 can be used to control abdominal depth.

[0117] Using the midpoint m of the switching curve, the key point N on the belly side, and the fixed point B at the bottom as control points, a second-order Bézier curve is constructed to obtain the belly side curve L2, whose expression is: L2(t2)=(1-t2) 2 )×B+2×(1-t2)×t2×m+t2 2 ×N,(0 <t2<1)

[0118] Where t2 represents the range of values ​​for the independent variable of the abdominal side curve L2 from the starting point 0 to the ending point 1.

[0119] In this embodiment, a second-order Bézier curve is drawn using the midpoint m of the switching motion curve, the key point N on the belly edge, and the fixed point B at the bottom as three control points to obtain the switching motion curve. The third vector N is then controlled by setting the adjustment parameter x3. p This allows for flexible control of the depth of the constructed abdominal edge curve.

[0120] As shown in Figures 7-9, in one embodiment, step S300, based on the switching curve, the bottom fixed point, and / or the reference point corresponding to the target line segment, constructs the abdominal edge curve and the attachment edge curve, respectively, including:

[0121] Step S340: Taking each reference point in the reference points corresponding to the target line segment as the starting point, extend it in a preset direction according to the preset length, with the Z-axis as the reference direction and the Y-axis and / or X-axis as the angle change axis, to obtain an attachment edge curve.

[0122] Specifically, the aortic valve can only close if the attachment edge can fix the valve annulus, and the valve leaflets can open and close to allow blood flow without causing backflow. Therefore, constructing the attachment edge plays a vital physiological role in the entire model. In this embodiment, the attachment edge is constructed using three elements: origin, direction, and length. Specifically, as shown in Figure 7, for the valve leaflets corresponding to the target line segment formed by reference points A1 and A2, reference points A1 and A2 are used as origins. The length of the attachment edge curve is adjusted using the attachment edge parameter x4, and the direction of the attachment edge curve is adjusted by changing the angles of the two angle parameters r and α. The attachment edge curve is based on the Z-axis direction. According to the preset direction, the parameter r is adjusted within the range of 0 to 360° (based on the YZ plane) with the Y-axis as the angle variation axis, as shown in Figure 8. And / or, the parameter α is adjusted within the range of 0 to 360° (based on the XZ plane) with the X-axis as the angle variation axis, as shown in Figure 9. An attachment edge curve L3 with the reference point A1 as the starting point is obtained, which is called the starting point of the constructed single valve leaflet, and an attachment edge curve L4 with the reference point A2 as the starting point is called the ending point of the constructed single valve leaflet.

[0123] In this embodiment, two attachment curves are constructed to connect the free edge curve and the ventral edge curve, forming a closed curve for constructing the valve leaflet. The length and direction of the attachment curves can be freely adjusted, making the configuration of the constructed valve leaflet adjustable and improving the extensibility of the free connection with the free edge curve and the ventral edge curve.

[0124] As shown in Figures 10 and 11, in one embodiment, step S400, which uses the switching motion curve as the sweep path and the ventral edge curve and the attachment edge curve as the sweep curve to construct a single valve leaflet, includes:

[0125] Using the switching curve as the sweep path, and the two attachment edge curves as the start and end points of the sweep curve respectively, the single valve leaflet configuration is controlled by the ventral edge curve for sweep lofting to construct a single valve leaflet. Figure 10 shows a side view of the single valve leaflet, and Figure 11 shows a top view of the single valve leaflet.

[0126] Specifically, the single-track sweep function of Grasshopper in Rhino was used to construct the surface corresponding to the valve leaflet. The sweep path was selected as the opening and closing curve L1, and the ventral edge curve L2 was used to control the overall configuration of the valve leaflet. The starting point of a single valve leaflet was the attachment edge curve L3, which started from the reference point A1, and the ending point of a single valve leaflet was the attachment edge curve L4, which started from the reference point A2. Sweep lofting was performed to obtain the surface model of a single valve leaflet. The attachment edge curves L3 and L4 can fix the valve annulus and provide support for the contour of the aortic valve. More importantly, during the opening and closing movement of the valve leaflet, blood can flow without causing blood backflow.

[0127] Furthermore, as shown in Figures 12-15, using the method described above for constructing a single valve leaflet, two more valve leaflets are constructed. The three valve leaflets are then tightly fitted together via attachment edge curves, thus constructing a dynamic mathematical model of the aortic valve. Figure 12 shows a side view of the aortic valve dynamic mathematical model with the valve leaflets in the open state; Figure 13 shows a top view of the aortic valve dynamic mathematical model with the valve leaflets in the open state; Figure 14 shows a side view of the aortic valve dynamic mathematical model with the valve leaflets in the closed state; and Figure 15 shows a top view of the aortic valve dynamic mathematical model with the valve leaflets in the closed state.

[0128] To enable the dynamic mathematical model of the aortic valve to possess dynamic physiological functions, control points can be used to regulate the opening and closing of the three valve leaflets at the same frequency. The frequency of these movements can be adjusted according to the normal aortic valve movement frequency in the human body, thereby constructing a model that can simulate vital characteristics and providing a foundation for medical research.

[0129] As shown in Figure 16, in one embodiment, step S100 involves determining three reference points based on a plane in a three-dimensional coordinate system, and obtaining a bottom fixed point along the perpendicular bisector of the target line segment formed by two of the reference points, including:

[0130] Step S110: Construct a cylinder and determine two reference points based on a cross-section of the cylinder;

[0131] Step S120: Draw the perpendicular bisector of the target line segment formed by the two reference points on the cross section, and determine a reference point based on the perpendicular bisector;

[0132] Step S130: Determine the intersection point of the perpendicular bisector and the surface of the cylinder to obtain a bottom fixing point.

[0133] Specifically, as shown in Figure 16, a cylinder is constructed, and two reference points A1 and A2 are selected on a cross-section of the cylinder. Then, the perpendicular bisectors of the two reference points on the cross-section are drawn, and a reference point A3 is determined based on the perpendicular bisectors. Since there are countless perpendicular bisectors connecting the two reference points, and all of these perpendicular bisectors are located in the same plane, the third reference point can be on the surface of the cylinder or not. As a preferred embodiment, the three reference points are all selected on a horizontal cross-section of the cylinder, and the circle containing the three points is equally divided. The angle between the three valve reference points is 120°, so as to construct three identical valve leaflets. Then, the intersection of the perpendicular bisector and the surface of the cylinder is used to obtain a bottom fixing point B. That is, the bottom fixing point is located on the surface of the cylinder and on the perpendicular bisector of the two reference points determined earlier. As another preferred embodiment, the position of the bottom fixing point can also be offset inside or outside the surface of the cylinder, for example, at the position of B1 or B2 shown in Figure 16. The bottom fixing point is parameterized to achieve the adjustment of the sinus curvature of the valve leaflet, thereby improving the flexibility of adjusting the shape of the valve leaflet.

[0134] It should be noted that the orientation of each coordinate axis in the three-dimensional coordinate system XYZ referred to in the above embodiments can be freely adjusted, and the present invention does not restrict the orientation of each coordinate axis in the three-dimensional coordinate system XYZ.

[0135] As shown in Figure 17, corresponding to the above-described parametric modeling method for the dynamic mathematical model of aortic valves, this embodiment of the invention also provides a dynamic mathematical model of aortic valves. This dynamic mathematical model is constructed based on a parametric modeling device for aortic valves, which includes:

[0136] The key point acquisition module 1710 is used to determine three reference points based on a plane in a three-dimensional coordinate system, and obtain a bottom fixed point along the direction of the perpendicular bisector of the target line segment formed by two of the reference points, and the three reference points are used to form a planar triangle.

[0137] The switching dynamic curve construction module 1720 is used to construct a Bézier curve based on the three reference points to obtain the switching dynamic curve.

[0138] The abdominal edge curve and attachment edge curve construction module 1730 is used to construct the abdominal edge curve and attachment edge curve respectively based on the switching curve, the bottom fixed point and / or the reference point corresponding to the target line segment;

[0139] The single-leaflet construction module 1740 is used to construct a single-leaflet using the switching curve as the sweeping path and the ventral edge curve and the attachment edge curve as the sweeping curve.

[0140] The dynamic adjustment module 1750 is used to adjust the straight line segment where the midpoint and the reference point on the switching curve are located based on the single valve leaflet and preset several control points to obtain a dynamically changeable single valve leaflet.

[0141] The dynamic model construction module 1760 is used to repeatedly construct the dynamically changeable single valve leaflet based on the three reference points until three dynamically changeable single valve leaflets are obtained, and to construct a dynamic mathematical model of the aortic valve using the three dynamically changeable valve leaflets.

[0142] Specifically, in this embodiment, the specific functions of the above-mentioned aortic valve dynamic mathematical model parameterization modeling device can be referred to the corresponding description in the above-mentioned aortic valve dynamic mathematical model parameterization modeling method, and will not be repeated here.

[0143] Based on the above embodiments, the present invention also provides a terminal, the principle block diagram of which is shown in Figure 18. The terminal includes a processor, a memory, a network interface, and a display screen connected via a system bus. The processor provides computing and control capabilities. The memory includes a non-volatile storage medium and internal memory. The non-volatile storage medium stores an operating system and a parametric modeling program for the aortic valve dynamic mathematical model. The internal memory provides an environment for the operation of the operating system and the parametric modeling program based on the aortic valve dynamic mathematical model in the non-volatile storage medium. The network interface is used to communicate with external terminals via a network connection. When the parametric modeling program for the aortic valve dynamic mathematical model is executed by the processor, it implements the steps of any of the above-described parametric modeling methods for the aortic valve dynamic mathematical model. The display screen of the terminal can be a liquid crystal display (LCD) or an e-ink display.

[0144] Those skilled in the art will understand that the principle block diagram shown in Figure 18 is merely a block diagram of a portion of the structure related to the present invention and does not constitute a limitation on the terminal to which the present invention is applied. A specific terminal may include more or fewer components than those shown in the figure, or combine certain components, or have different component arrangements.

[0145] In one embodiment, a terminal is provided, the terminal including a memory, a processor, and an aortic valve dynamic mathematical model parameterization modeling program stored in the memory and executable on the processor. When the aortic valve dynamic mathematical model parameterization modeling program is executed by the processor, it implements the steps of any aortic valve dynamic mathematical model parameterization modeling method provided in the embodiments of the present invention.

[0146] This invention also provides a computer-readable storage medium storing a parametric modeling program for aortic valve dynamic mathematical model. When the parametric modeling program for aortic valve dynamic mathematical model is executed by a processor, it implements the steps of any of the parametric modeling methods for aortic valve dynamic mathematical model provided in this invention.

[0147] It should be understood that the sequence number of each step in the above embodiments does not imply the order of execution. The execution order of each process should be determined by its function and internal logic, and should not constitute any limitation on the implementation process of the embodiments of the present invention.

[0148] Those skilled in the art will clearly understand that, for the sake of convenience and brevity, the above-described division of functional units and modules is merely an example. In practical applications, the above functions can be assigned to different functional units and modules as needed, that is, the internal structure of the above device can be divided into different functional units or modules to complete all or part of the functions described above. The functional units and modules in the embodiments can be integrated into one processing unit, or each unit can exist physically separately, or two or more units can be integrated into one unit. The integrated unit can be implemented in hardware or as a software functional unit. Furthermore, the specific names of the functional units and modules are only for easy differentiation and are not intended to limit the scope of protection of this invention. The specific working process of the units and modules in the above system can be referred to the corresponding process in the foregoing method embodiments, and will not be repeated here.

[0149] In the above embodiments, the descriptions of each embodiment have different focuses. For parts that are not described in detail or recorded in a certain embodiment, please refer to the relevant descriptions of other embodiments.

[0150] Those skilled in the art will recognize that the units and algorithm steps of the various examples described in conjunction with the embodiments disclosed herein can be implemented in electronic hardware, or a combination of computer software and electronic hardware. Whether these functions are implemented in hardware or software depends on the specific application and design constraints of the technical solution. Those skilled in the art can use different methods to implement the described functions for each specific application, but such implementations should not be considered beyond the scope of this invention.

[0151] In the embodiments provided by this invention, it should be understood that the disclosed apparatus / terminal devices and methods can be implemented in other ways. For example, the apparatus / terminal device embodiments described above are merely illustrative. For instance, the division of the above modules or units is merely a logical functional division, and in actual implementation, it can be divided in other ways. For example, multiple units or components can be combined or integrated into another system, or some features can be ignored or not executed.

[0152] The above-described embodiments are only used to illustrate the technical solutions of the present invention, and are not intended to limit it. Although the present invention has been described in detail with reference to the foregoing embodiments, those skilled in the art should understand that modifications can still be made to the technical solutions described in the foregoing embodiments, or equivalent substitutions can be made to some of the technical features. Such modifications or substitutions do not mean that the essence of the corresponding technical solutions deviates from the spirit and scope of the technical solutions of the embodiments of the present invention, and should all be included within the protection scope of the present invention.

Claims

1. A parametric modeling method for aortic valve dynamic mathematical model, characterized in that, Includes the following steps: Based on a plane in a three-dimensional coordinate system, three reference points are determined, and a bottom fixed point is obtained along the direction of the perpendicular bisector of the target line segment formed by two of the reference points. The three reference points are used to form a planar triangle. Based on the three reference points, a Bézier curve is constructed to obtain the switching dynamic curve; Based on the switching curve, the bottom fixed point and / or the reference point corresponding to the target line segment, the abdominal edge curve and the attachment edge curve are constructed respectively. Using the switching curve as the sweep path and the abdominal edge curve and the attachment edge curve as the sweep curve, a single valve leaflet is constructed. Based on the single valve leaflet, several control points are preset to adjust the straight line segment where the midpoint and reference point are located on the switching curve, so as to obtain a dynamically changeable single valve leaflet. Using the three reference points as a reference, the steps of constructing the dynamically changeable single valve leaflet are repeated until three dynamically changeable single valve leaflets are obtained, and the dynamic mathematical model of the aortic valve is constructed using the three dynamically changeable valve leaflets.

2. The parameterized modeling method for the dynamic mathematical model of aortic valves according to claim 1, characterized in that, The process of constructing a Bézier curve based on the three reference points to obtain the switching curve includes: Obtain the centroid of the planar triangle; Obtain the midpoint of the line connecting the two reference points, and point from the centroid to the midpoint of the line connecting the reference points to obtain the first vector; Starting from the centroid, draw the normal vector of the planar triangle in the opposite direction of the Z-axis to obtain the second vector; Based on the first vector and the second vector, the endpoint of the vector is obtained; Using the two reference points and the endpoint of the vector as control points, a Bézier curve is constructed to obtain the switching curve.

3. The parameterized modeling method for the dynamic mathematical model of the aortic valve according to claim 1, characterized in that, The method of adjusting the straight line segment containing the midpoint and reference point on the switching curve based on the single valve leaflet, thereby obtaining a dynamically changeable single valve leaflet, includes: Based on the single valve leaflet, the midpoint of the switching motion curve is obtained. Based on the midpoint of the switching motion curve and the two reference points, two straight line segments intersecting at the midpoint of the switching motion curve are obtained. The two line segments are divided using preset parameters to obtain several sets of control points; By controlling the switching curve through different sets of control points, a dynamically changing single valve leaflet can be obtained.

4. The parameterized modeling method for the dynamic mathematical model of the aortic valve according to claim 1, characterized in that, The process of constructing the abdominal edge curve and the attachment edge curve based on the switching curve, the bottom fixed point, and / or the reference point corresponding to the target line segment includes: Starting from the midpoint of the switching curve, draw the normal vector of the planar triangle in the opposite direction of the Z-axis to obtain the third vector; Starting from the midpoint of the switching curve, determine the key points of the abdominal edge along the direction of the third vector according to the preset length; A Bézier curve is constructed using the midpoint of the switching curve, the key point of the abdominal edge, and the bottom fixed point to obtain the abdominal edge curve.

5. The parameterized modeling method for the dynamic mathematical model of the aortic valve according to claim 1, characterized in that, The process of constructing the abdominal edge curve and the attachment edge curve based on the switching curve, the bottom fixed point, and / or the reference point corresponding to the target line segment includes: Starting from each of the reference points corresponding to the target line segment, and extending along a preset length, with the Z-axis as the reference direction and the Y-axis and / or X-axis as the angle change axis, an attachment edge curve is obtained.

6. The parameterized modeling method for the dynamic mathematical model of the aortic valve according to claim 1, characterized in that, The construction of a single valve leaflet using the switching curve as the sweep path and the ventral edge curve and the attachment edge curve as the sweep curves includes: Using the switching curve as the sweep path, and the two attached edge curves as the start and end points of the sweep curve respectively, the single valve leaflet configuration is controlled by the abdominal edge curve for sweeping lofting to construct a single valve leaflet.

7. The parameterized modeling method for the dynamic mathematical model of the aortic valve according to claim 1, characterized in that, The method of determining three reference points based on a plane in a three-dimensional coordinate system, and obtaining a bottom fixed point along the perpendicular bisector of the target line segment formed by two of the reference points, includes: Construct a cylinder, and determine two reference points based on a cross-section of the cylinder; Draw the perpendicular bisector of the target line segment formed by the two reference points on the cross section, and determine a reference point based on the perpendicular bisector; Determine the intersection point of the perpendicular bisector and the surface of the cylinder to obtain a bottom fixing point.

8. A dynamic mathematical model of the aortic valve, characterized in that, The aortic valve dynamic mathematical model is constructed based on an aortic valve parametric modeling device, which includes: The key point acquisition module is used to determine three reference points based on a plane in a three-dimensional coordinate system, and obtain a bottom fixed point along the direction of the perpendicular bisector of the target line segment formed by two of the reference points, and the three reference points are used to form a planar triangle. The switching dynamic curve construction module is used to construct a Bézier curve based on the three reference points to obtain the switching dynamic curve; The abdominal edge curve and attachment edge curve construction module is used to construct the abdominal edge curve and attachment edge curve respectively based on the switching curve, the bottom fixed point and / or the reference point corresponding to the target line segment; A single valve leaflet construction module is used to construct a single valve leaflet by using the switching curve as the sweeping path and the ventral edge curve and the attachment edge curve as the sweeping curve. The dynamic adjustment module is used to adjust the straight line segment where the midpoint and the reference point on the switching curve are located based on the single valve leaflet and preset several control points to obtain a dynamically changeable single valve leaflet. The dynamic model construction module is used to repeatedly construct the dynamically changeable single valve leaflet based on the three reference points until three dynamically changeable single valve leaflets are obtained, and to construct a dynamic mathematical model of the aortic valve using the three dynamically changeable valve leaflets.

9. A terminal, characterized in that, The terminal includes a memory, a processor, and a parameterized modeling program for aortic valve dynamic mathematical model stored in the memory and executable on the processor. When the parameterized modeling program for aortic valve dynamic mathematical model is executed by the processor, it implements the steps of the parameterized modeling method for aortic valve dynamic mathematical model as described in any one of claims 1-7.

10. A computer-readable storage medium, characterized in that, The computer-readable storage medium stores a parameterized modeling program for aortic valve dynamic mathematical model, which, when executed by a processor, implements the steps of the parameterized modeling method for aortic valve dynamic mathematical model as described in any one of claims 1-7.

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